Here is the full list of all 13 Don't cut your hand achievements.
Cut strawberry perfectly 1234 times
Cut UFO perfectly 369 times
Cut sub perfectly 666 times
Cut boxer perfectly 666 times
Cut your hand 300 times
Win 300 times in multiplayer
Own 15 characters
Lose 33 times in multiplayer
A total of 12345 points
Cut food 6666 times
Get 2222 points in single game
Cut 300 foods
Own 5 characters